76776720 has 160 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 19095552.

The previous prime is 76776671. The next prime is 76776731. The reversal of 76776720 is 2767767.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515206 + ... + 515354.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^76776720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76776720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

76776720 is an abundant number, since it is smaller than the sum of its proper divisors (177671280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76776720 is a wasteful number, since it uses less digits than its factorization.

76776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 76776720 is about 8762.2325922107. The cubic root of 76776720 is about 425.0204742155.

The spelling of 76776720 in words is "seventy-six million, seven hundred seventy-six thousand, seven hundred twenty".